Topology

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy samp...

This text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed understandi...

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as...

Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discov...

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-a...

These proceedings contain the contributions of some of the participants in the intensive research period held at the De Giorgi Research Center in P...

Volume III of the Collected Works of V.I. Arnold contains papers written in the years 1972 to 1979. The main theme emerging in Arnold's work of thi...

In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions di...

Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make availa...

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigs...

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigs...

In differential geometry and topology one often deals with systems of partial differential equations as well as partial differential inequalities t...

In differential geometry and topology one often deals with systems of partial differential equations as well as partial differential inequalities t...

Topological Phases of Matter are an exceptionally dynamic field of research: several of the most exciting recent experimental discoveries and conce...

Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Dependi...

Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Dependi...

This volume contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 1...

We construct a family of Calabi-Yau metrics on C3 with properties analogous to the Taub-NUT metric on C2, and construct a family of Calabi-Yau 3-fo...

We develop a unified theory of Eulerian spaces by combining the combinatorial theory of infinite, locally finite Eulerian graphs as introduced by D...

Topology for Beginners is written for undergraduate students enrolled in a 4-year Bachelor of Science programme. The mathematical content covers a ...

With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that t...

One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been t...

This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter o...

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invarian...

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this boo...

This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in hig...

This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots,...

Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by...

From prehistory to the present, knots have been used for purposes both artistic and practical. The modern science of Knot Theory has ramifications ...

This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic ...

This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the...

These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok's work reflects hal...

These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok's work reflects hal...

Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The ...

These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok's work reflects hal...

One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early...

Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation...

This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than questions in the traditional setti...